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Finding the Fourth Proportional to 387,356, 581,055.86 and 138,038

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Solution

The fourth proportional to 387,356, 581,055.86 and 138,038 is: 207,064.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,356 : 581,055.86 = 138,038 : x
  2. Step 2: Convert to fraction form
    387,356/581,055.86 = 138,038/x
  3. Step 3: Cross multiply
    387,356x = 581,055.86 × 138,038
  4. Step 4: Simplify right side
    387,356x = 80,207,788,802.68
  5. Step 5: Solve for x
    x = 80,207,788,802.68/387,356
  6. Step 6: Final answer
    x = 207,064.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.